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Finding the Fourth Proportional to 1,113.31, 1,670.06 and 291.57

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Solution

The fourth proportional to 1,113.31, 1,670.06 and 291.57 is: 437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.31 : 1,670.06 = 291.57 : x
  2. Step 2: Convert to fraction form
    1,113.31/1,670.06 = 291.57/x
  3. Step 3: Cross multiply
    1,113.31x = 1,670.06 × 291.57
  4. Step 4: Simplify right side
    1,113.31x = 486,939.39
  5. Step 5: Solve for x
    x = 486,939.39/1,113.31
  6. Step 6: Final answer
    x = 437.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.